Minimum-Time Quantum Transport With Bounded Trap Velocity

Author

Stefanatos, Dionisis ; Jr-Shin Li

Author_Institution

Dept. of Electr. & Syst. Eng., Washington Univ., St. Louis, MO, USA

Volume

59

Issue

3

fYear

2014

fDate

Mar-14

Firstpage

733

Lastpage

738

Abstract

We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system with bounded input. We completely solve the corresponding optimal control problem and obtain an interesting bang-bang solution, where the switching times are obtained from a transcendental equation. These results are expected to find applications in quantum information processing and atom interferometry.

Keywords

bang-bang control; discrete systems; harmonic analysis; linear systems; minimum principle; particle interferometry; particle traps; velocity control; atom interferometry; bang-bang method; bounded trap velocity; harmonic potential; linear system; minimum time problem; optimal control problem; quantum information processing; quantum particle trapping; quantum transport; switching time; transcendental equation; Eigenvalues and eigenfunctions; Equations; Harmonic analysis; Optimal control; Oscillators; Switches; Trajectory; Optimal control; quantum control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2013.2273296

Filename

6558800